Principal ideal domain:principal ideal domain in nLab
principal ideal domain in nLab
2022年8月8日—Oftenpidisusedasanabbreviationof“principalidealdomain”.Apidcanalsobecharacterizedasanintegraldomainwichpossessesa ...。其他文章還包含有:「2.4」、「27PrincipalidealdomainsandEuclideanrings」、「AbstractAlgebra15.3」、「Principalideal」、「Principalidealdomain」、「PrincipalIdealDomain(P.I.D.)」、「PrincipalIdealDomain」、「Principalidealring」、「代數導論二Week3(Part4)」
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Definition: Principal Ideal Domain ... An integral domain R in which every ideal is principal is known as a principal ideal domain (PID) .
27 Principal ideal domains and Euclidean rings
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A ring R is a principal ideal domain (PID) if it is an integral domain (25.5) such that every ideal of R is a principal ideal. 27.5 Proposition. The ring of ...
Abstract Algebra 15.3
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Principal ideal
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A principal ideal domain (PID) is an integral domain in which every ideal is principal. Any PID is a unique factorization domain; the normal proof of unique ...
Principal ideal domain
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In mathematics, a principal ideal domain, or PID, is an integral domain in which every ideal is principal, i.e., can be generated by a single element.
Principal Ideal Domain (P.I.D.)
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The principal ideal domain is a principal ring with no zero divisors. Note : integrally closed domains ⊂ integral domains ⊂ commutative rings ...
Principal Ideal Domain
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A principal ideal domain is an integral domain in which every proper ideal can be generated by a single element. The term principal ideal domain is often ...
Principal ideal ring
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In mathematics, a principal right (left) ideal ring is a ring R in which every right (left) ideal is of the form xR (Rx) for some element x of R. (The right ...
代數導論二Week 3 (Part 4)
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Suppose R R is an integral domain. If every ideal in R R is a principal ideal, them R R is said to be a Princpal Ideal Domain. 可以觀察:所以的Euclidean Domain ...